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Finding the Fourth Proportional to 11,923.68, 16,454.74 and 7,450.02

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Solution

The fourth proportional to 11,923.68, 16,454.74 and 7,450.02 is: 10,281.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,923.68 : 16,454.74 = 7,450.02 : x
  2. Step 2: Convert to fraction form
    11,923.68/16,454.74 = 7,450.02/x
  3. Step 3: Cross multiply
    11,923.68x = 16,454.74 × 7,450.02
  4. Step 4: Simplify right side
    11,923.68x = 122,588,206.86
  5. Step 5: Solve for x
    x = 122,588,206.86/11,923.68
  6. Step 6: Final answer
    x = 10,281.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.